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Geometric quantization of Neumann-type completely integrable Hamiltonian systems.

Authors :
Mykytiuk, I. V.
Prykarpatsky, A. K.
Andrushkiw, R. I.
Samoilenko, V. Hr.
Source :
Journal of Mathematical Physics. Apr94, Vol. 35 Issue 4, p1532. 17p.
Publication Year :
1994

Abstract

The procedure of geometric quantization is developed for completely integrable dynamical systems on manifolds with exact symplectic structure. These results are applied to Neumann’s nonharmonic oscillatory system on two-dimensional sphere S2. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NEUMANN problem
*HAMILTONIAN systems
*MATHEMATICAL physics

Details

Language :
English
ISSN :
00222488
Volume :
35
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
9825441
Full Text :
https://doi.org/10.1063/1.530605
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